# Eigenvalues MCQ’s

This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Eigenvalues”.

1. Find the Eigen values of matrix A = \begin{bmatrix} 2 & 1 & 0\\ 1 & 2 & 1\\ 0 & 1 & 2\\ \end{bmatrix}.

a) 2 + \sqrt{2}, 2-\sqrt{2}, 2

b) 2, 1, 2

c) 2, 2, 0

d) 2, 2, 2

2. Find the product of Eigen values of a matrix A = \begin{bmatrix} 1 & 2 & 4\\ 0 & 6 & 0\\ 3 & 1 & 2\\ \end{bmatrix}.

a) 60

b) 45

c) -60

d) 40

3.Let us consider a square matrix A of order n with Eigen values of a, b, c then the Eigen values of the matrix A^{T} could be.

a) a, b, c

b) -a, -b, -c

c) a-b, b-a, c-a

d) a^{-1}, b^{-1}, c^{-1}

4. Let the matrix A be the idempotent matrix then the Eigen values of the idempotent matrix are ________

a) 0, 1

b) 0

c) 1

d) -1

5. Find the sum of the Eigen values of the matrix A = \begin{bmatrix} 3 & 6 & 7\\ 5 & 4 & 2\\ 7 & 9 & 1\\ \end{bmatrix}.

a) 7

b) 8

c) 9

d) 10

6. The Eigen values of a 3×3 matrix are λ_{1}, λ_{2}, λ_{3} then the Eigen values of a matrix A^{3} are __________

a) λ_{1}, λ_{2}, λ_{3}

b) \frac{1}{λ_1}, \frac{1}{λ_2}, \frac{1}{λ_3}

c) λ_1^3, λ_2^3, λ_3^3

d) 1, 1, 1

7. What is Eigen value?

a) A vector obtained from the coordinates

b) A matrix determined from the algebraic equations

c) A scalar associated with a given linear transformation

d) It is the inverse of the transform

8. Let us consider a 3×3 matrix A with Eigen values of λ_{1}, λ_{2}, λ_{3} and the Eigen values of A^{-1} are?

a) λ_{1}, λ_{2}, λ_{3}

b) \frac{1}{λ_1}, \frac{1}{λ_2}, \frac{1}{λ_3}

c) -λ_{1}, -λ_{2}, -λ_{3}

d) λ_{1}, 0, 0

9. Find the Eigen values of matrix A=\begin{bmatrix} 4 & 1 \\ 1 & 4 \\ \end{bmatrix} .

a) 3, -3

b) -3, -5

c) 3, 5

d) 5, 0

10. Where do we use Eigen values?

a) Fashion or cosmetics

b) Communication systems

c) Operations

d) Natural herbals

### More Stories

### Hybrid Architecture -RISC and CISC Convergence, Advantages of RISC, Design Issues of RISC Processors – 2 MCQ’s

This set of Microprocessor Multiple Choice Questions & Answers (MCQs) focuses on “Hybrid Architecture -RISC and CISC Convergence, Advantages of...

### Hybrid Architecture -RISC and CISC Convergence, Advantages of RISC, Design Issues of RISC Processors – 1 MCQ’s

This set of Microprocessor Multiple Choice Questions & Answers (MCQs) focuses on “Hybrid Architecture -RISC and CISC Convergence, Advantages of...

### Extended Instruction Set In Advanced Pentium Processors, Formal Verification MCQ’s

This set of Microprocessor Multiple Choice Questions & Answers (MCQs) focuses on “Extended Instruction Set In Advanced Pentium Processors, Formal...

### Hyperthreading In Pentium MCQ’s

This set of Microprocessor Multiple Choice Questions & Answers (MCQs) focuses on “Hyperthreading In Pentium". 1. The feature of hyperthreading...

### Rapid Execution Module, Memory Subsystem, Hyperthreading Technology MCQ’s

This set of Microprocessor Multiple Choice Questions & Answers (MCQs) focuses on “Rapid Execution Module, Memory Subsystem, Hyperthreading Technology". 1....

### Netburst Microarchitecture For Pentium4 -2, Instruction Translation Lookaside Buffer (ITLB) and Branch Prediction MCQ’s

This set of Microprocessor Multiple Choice Questions & Answers (MCQs) focuses on “Netburst Microarchitecture For Pentium4 -2, Instruction Translation Lookaside...

## Average Rating